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Finding the Fourth Proportional to 32,021.19, 48,034.09 and 12,299.75

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Solution

The fourth proportional to 32,021.19, 48,034.09 and 12,299.75 is: 18,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.19 : 48,034.09 = 12,299.75 : x
  2. Step 2: Convert to fraction form
    32,021.19/48,034.09 = 12,299.75/x
  3. Step 3: Cross multiply
    32,021.19x = 48,034.09 × 12,299.75
  4. Step 4: Simplify right side
    32,021.19x = 590,807,058.31
  5. Step 5: Solve for x
    x = 590,807,058.31/32,021.19
  6. Step 6: Final answer
    x = 18,450.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.